528121825 has 24 divisors (see below), whose sum is σ = 816465600. Its totient is φ = 329217600.

The previous prime is 528121801. The next prime is 528121843.

It is a happy number.

528121825 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 528121825 - 2¹⁵ = 528089057 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135250 + ... + 139099.

It is an arithmetic number, because the mean of its divisors is an integer number (34019400).

Almost surely, 2^528121825 is an apocalyptic number.

528121825 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

528121825 is a deficient number, since it is larger than the sum of its proper divisors (288343775).

528121825 is a wasteful number, since it uses less digits than its factorization.

528121825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274377 (or 274372 counting only the distinct ones).

The product of its digits is 12800, while the sum is 34.

The square root of 528121825 is about 22980.9013095657. The cubic root of 528121825 is about 808.3101614737.

The spelling of 528121825 in words is "five hundred twenty-eight million, one hundred twenty-one thousand, eight hundred twenty-five".